If we meet these conditions, the sampling distribution of the mean will have a normal shape and ... The mean of the sampling distribution will be u, (i.e., the same as the population mean) and the standard deviation of the sampling distribution will be (that's the population standard deviation divided by the square root of the sample size). In the AP Stats Guy video, he talks about the number of text messages his students send during class. Suppose the average number of text messages his students send during class is u = 30 text messages. If we take samples of say, n = 36 students at a time, we would expect the mean of the sampling distribution we create to be the same as the population mean, 30 text messages. If we can further say that standard deviation of the number of text messages is 12 text messages, by how much would we expect the sample means to vary? (hint, use the formula above) text messages

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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If we meet these conditions, the sampling distribution of the mean will have a normal shape and ...
The mean of the sampling distribution will be u, (i.e., the same as the population mean)
and
the standard deviation of the sampling distribution will be
(that's the population standard deviation
divided by the square root of the sample size).
In the AP Stats Guy video, he talks about the number of text messages his students send during class. Suppose the
average number of text messages his students send during class is u = 30 text messages. If we take samples of say, n =
36 students at a time, we would expect the mean of the sampling distribution we create to be the same as the population
mean, 30 text messages.
If we can further say that standard deviation of the number of text messages is 12 text messages, by how much would we
expect the sample means to vary? (hint, use the formula above)
text messages
Transcribed Image Text:If we meet these conditions, the sampling distribution of the mean will have a normal shape and ... The mean of the sampling distribution will be u, (i.e., the same as the population mean) and the standard deviation of the sampling distribution will be (that's the population standard deviation divided by the square root of the sample size). In the AP Stats Guy video, he talks about the number of text messages his students send during class. Suppose the average number of text messages his students send during class is u = 30 text messages. If we take samples of say, n = 36 students at a time, we would expect the mean of the sampling distribution we create to be the same as the population mean, 30 text messages. If we can further say that standard deviation of the number of text messages is 12 text messages, by how much would we expect the sample means to vary? (hint, use the formula above) text messages
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